An alternate method is to recognize that for a string fixed at both ends the wavelength is 2 times the length of the string. In that case you have a wavelength of 2 m.
The relationship between the string tension F(T), the m/L ratio and the velocity of the wave...
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An alternate method is to recognize that for a string fixed at both ends the wavelength is 2 times the length of the string. In that case you have a wavelength of 2 m.
The relationship between the string tension F(T), the m/L ratio and the velocity of the wave is: F(T) = m/L * v^2
Solving for the velocity gives 31.62 m/s.
Since v = frequency * wavelength; 31.62 m/s divided by 2 m = 15.81 Hz as the fundamental frequency.
As you can see, in physics there is often more than one way to end up with the correct answer.